Question 1196227: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $60, and the cost of materials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $70, and the cost of labor to manufacture a trail bike is $50. During a week in which the company has budgeted $1,800 for materials and $2,150 for labor, how many mountain bikes does the company plan to manufacture?
Answer by amoresroy(361)   (Show Source):
You can put this solution on YOUR website! Let X = the number of mountain bikes the company plans to manufacture
Y = the number of trail bikes the company plans to manufacture
Equations
(1) 60x + 40y = 1,800
(2) 70x + 50y = 2,150
Multiply equation (1) by 5/4
(3) 75x + 50y = 2,250
Subtract equation (3) by equation (2)
5x = 100
x = 100/5
x = 20
Answer:
The company plans to manufacture 20 mountain bikes.
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